is 2 6935921 - 1
has 2087921 decimal digits
takes 1.512 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAAAA9392611E40E9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.881368.0556%20000002588493605.05696.9795%142.938270.2851%2.2295%
PrimeNet2630.230163.4921%280007000000.02043.1612%0.250564.6462%1.1541%
GPU722674.284165.6716%450009000000.02902.2371%4.313066.4396%0.7680%
Difference+5+133.5972+2.3839%+1955000+257949360+5.0280+4.7423%+138.6252+3.8455%+1.4616%

Known prime factors:
No known factors for M6935921

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers35000455000---0.018--0.874%
2012-08-18T04:38:00NesowaEPC850001508750---0.051--1.565%
2019-04-30T11:11:34takahashivaio30000050000006---0.176--2.683%
2021-06-02T21:12:27Dylan DelgadoManual testing6300001890000012---0.514--3.948%
2021-12-06T13:58:33Seth_TrManual testing2000000258849360---5.057--6.979%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-20T00:00:00ANONYMOUSv4_computers21262--0.089--
2005-03-06T00:00:00ANONYMOUSv4_computers21263--0.230--
2014-02-09T10:11:00NesowaManual testing263264--0.283--
2014-02-16T23:05:00lycornManual testing264265--0.539--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.077--
2016-04-05T22:46:22Gordon SpenceManual testing266267--2.155--
2018-02-27T00:21:32-Anonymous-Manual testing267268--4.310--
2020-05-01T08:51:04TJAOIManual testing268269--8.619--
2021-07-24T15:00:44takahashiManual testing269270--17.24--
2021-08-19T16:09:44SRBaseManual testing270271--34.48--
2021-09-26T07:26:56SRBaseManual testing271272--68.95--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computersAAAA9392611E40E91.512
2002-01-08T00:00:00ANONYMOUSv4_computersAAAA9392611E40E91.512


PRP results:
No PRP results for M6935921


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 630000, B2 = 18900000 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
B1 = 300000, B2 = 5000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 85000, B2 = 1508750 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 35000, B2 = 455000 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-06T13:58:33+00:00